Hybrid Girder Factor Calculator

✖The Ratio of Web Area to Flange Area of the orthotropic-plate bridge is the ratio of web area to the area of tension flange or bottom flange of the orthotropic-plate bridge.ⓘ Ratio of Web Area to Flange Area [β]			+10% -10%
✖Ratio of Yield Stress is defined as the ratio of web yield stress to that of flange yield stress.ⓘ Ratio of Yield Stress [α]			+10% -10%

✖Hybrid Girder Factor Re accounts for the strength reduction due to web yielding and is only important in hybrid girder design.ⓘ Hybrid Girder Factor [R_e]

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Hybrid Girder Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hybrid Girder Factor = (12+(Ratio of Web Area to Flange Area*(3*Ratio of Yield Stress-Ratio of Yield Stress^3)))/(12+2*Ratio of Web Area to Flange Area)
R_e = (12+(β*(3*α-α^3)))/(12+2*β)
This formula uses 3 Variables

Variables Used

Hybrid Girder Factor - Hybrid Girder Factor Re accounts for the strength reduction due to web yielding and is only important in hybrid girder design.
Ratio of Web Area to Flange Area - The Ratio of Web Area to Flange Area of the orthotropic-plate bridge is the ratio of web area to the area of tension flange or bottom flange of the orthotropic-plate bridge.
Ratio of Yield Stress - Ratio of Yield Stress is defined as the ratio of web yield stress to that of flange yield stress.

STEP 1: Convert Input(s) to Base Unit

Ratio of Web Area to Flange Area: 3 --> No Conversion Required
Ratio of Yield Stress: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_e = (12+(β*(3*α-α^3)))/(12+2*β) --> (12+(3*(3*0.8-0.8^3)))/(12+2*3)

Evaluating ... ...

R_e = 0.981333333333333

STEP 3: Convert Result to Output's Unit

0.981333333333333 --> No Conversion Required

FINAL ANSWER

0.981333333333333 ≈ 0.981333 <-- Hybrid Girder Factor

(Calculation completed in 00.020 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Plate Girders in Buildings Calculators

Plate Girder Stress Reduction Factor

LaTeX Go Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress))))

Allowable Bending Stress in Compression Flange

LaTeX Go Reduced Allowable Bending Stress = Allowable Bending Stress*Plate Girder Strength Reduction Factor*Hybrid Girder Factor

Maximum Depth to Thickness Ratio for Unstiffened Web

LaTeX Go Depth to Thickness Ratio = 14000/sqrt(Yield Stress of Steel*(Yield Stress of Steel+16.5))

Depth to Thickness Ratio of Girder with Transverse Stiffeners

LaTeX Go Depth to Thickness Ratio = 2000/sqrt(Yield Stress of Steel)

Hybrid Girder Factor Formula

LaTeX Go

Hybrid Girder Factor = (12+(Ratio of Web Area to Flange Area*(3*Ratio of Yield Stress-Ratio of Yield Stress^3)))/(12+2*Ratio of Web Area to Flange Area)
R_e = (12+(β*(3*α-α^3)))/(12+2*β)

What is Web Buckling?

Web Bearing and Buckling are modes of failure that arise from concentrated forces being transversely applied onto the flanges of beams or columns. Buckling of the web happens when the web is too slender to carry the transverse force being transferred from the flange.

What is Web Yielding?

Web Yielding is the compressive crushing of a beam web caused by the application of a compressive force to the flange directly above or below the web. This force could be an end reaction from a support or it could be a load delivered to the top flange by a column or another beam.

How to Calculate Hybrid Girder Factor?

Hybrid Girder Factor calculator uses Hybrid Girder Factor = (12+(Ratio of Web Area to Flange Area*(3*Ratio of Yield Stress-Ratio of Yield Stress^3)))/(12+2*Ratio of Web Area to Flange Area) to calculate the Hybrid Girder Factor, The Hybrid Girder Factor formula is defined as the strength reduction due to web yielding. Hybrid Girder Factor is denoted by R_e symbol.

How to calculate Hybrid Girder Factor using this online calculator? To use this online calculator for Hybrid Girder Factor, enter Ratio of Web Area to Flange Area (β) & Ratio of Yield Stress (α) and hit the calculate button. Here is how the Hybrid Girder Factor calculation can be explained with given input values -> 0.981333 = (12+(3*(3*0.8-0.8^3)))/(12+2*3).

FAQ

What is Hybrid Girder Factor?

The Hybrid Girder Factor formula is defined as the strength reduction due to web yielding and is represented as R_e = (12+(β*(3*α-α^3)))/(12+2*β) or Hybrid Girder Factor = (12+(Ratio of Web Area to Flange Area*(3*Ratio of Yield Stress-Ratio of Yield Stress^3)))/(12+2*Ratio of Web Area to Flange Area). The Ratio of Web Area to Flange Area of the orthotropic-plate bridge is the ratio of web area to the area of tension flange or bottom flange of the orthotropic-plate bridge & Ratio of Yield Stress is defined as the ratio of web yield stress to that of flange yield stress.

How to calculate Hybrid Girder Factor?

The Hybrid Girder Factor formula is defined as the strength reduction due to web yielding is calculated using Hybrid Girder Factor = (12+(Ratio of Web Area to Flange Area*(3*Ratio of Yield Stress-Ratio of Yield Stress^3)))/(12+2*Ratio of Web Area to Flange Area). To calculate Hybrid Girder Factor, you need Ratio of Web Area to Flange Area (β) & Ratio of Yield Stress (α). With our tool, you need to enter the respective value for Ratio of Web Area to Flange Area & Ratio of Yield Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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